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448 INDEX
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Cauchy-Schwarz inequality: 13.11
Cauchy's determinant: 13.11, prob. 6
Cay ley transform of a hermit ian operator:
15.13
Centralizer of a subset of a group: 12.8
Chacon-Ornstein ergodic theorem: 13.17,
prob. 5
Chaotic topology: 12.1
Character of an algebra: 15.3 Characteristic function of a set: 12.7 Choquet's theorem: 13.10, prob. 8 ChristofTel-Darboux formula: 15.13, prob. 3 Closed convex hull: 12.14, prob. 13 Closed graph theorem: 12.16 Closed unbounded operator: 15.12 Closure of an unbounded operator: 15.12 Coarser covering: 12.6 Coarser partition: 13.9, prob. 7 Coarser topology: 12.1 Compact space: 12.2 and 12.3, prob. 6 Comparable topologies, 12.1 Compatible (topology and group structure):
12.8
Compatible (topology and vector space
structure): 12.13
Complete additivity: 13.8 Complete maximum principle: 13.13,
prob. 2
Complex measure: 13.1
Compressible mapping: 13.9, prob. 11 Condensation of singularities: 12.16, prob.
14
Conjugacy: 15.13, prob. 7
Conjugate of a complex measure: 13.2 Conjugate mappings preserving a measure:
13.12, prob. 11
Continued fraction: 13.14, prob. 4
Continuous almost everywhere: 13.9,
prob. 6
Convergence in mean, in square mean: 13.11
Convergence in measure: 13.2, prob. 2 Convergents to a continued fraction: 13.14,
prob. 4
Convex hull: 12.14, prob. 13
Convolution of a measure and a function-
14.8
Convolution of two measures: 14.5
Convolvable function and measure: 14.8 Convolvable functions: 14.10 Convolvable measures: 14.5 |
Cotlar's lemma: 15.4, prob. 16
Covering (G-): 14.1, prob. 6 |
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Defect of an unbounded hermitian operator:
15.13
Defined almost everywhere: 13.6
Dense point, with respect to a measure-
preserving transformation: 13.11, prob. 11.
Density with respect to a measure: 13.1 and
13.13
Differentiation under the integral sign: 13.8
Diffuse measure: 13.18
Dirac measure: 13.1
Directed set of seminorms: 12.14
Dirichlet algebra: 15.3, prob. 9
Dirichlet series: 12.7, prob. 9
Discrete topology: 12.1
Disjoint measures: 13.18
Domain of an unbounded operator: 15.12
Dominated convergence theorem: 13.8
Dual of a locally convex space: 12.15
Dunford-Schwartz ergodic theorem: 13.21,
prob. 20 |
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Egoroff's theorem: 13.9
Elementary set: 12.5
Entropy: 13.9, probs. 27, 28
Equi-integrable set: 13.12, prob. 4
Equirepartitioned sequence: 13.4, prob. 7
Equivalent functions: 13.6
Equivalent measures: 13.15
Equivalent representations: 15.5
Equivalent seminorms: 12.14
Ergodic mapping, measure: 13.9, prob. 13
Ergodic point, with respect to a measure-
preserving transformation: 13.11, prob. 11
Ergodic set: 13.11, prob. 11
Essential spectrum: 15.13, prob. 11
Essential subspace: 15.5
Essentially bounded function: 13.12
Essentially self-adjoint unbounded oper-
ator: 15.13
Exterior function: 15.3, prob. 12
Extremal point: 12.15, prob. 5
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